Factorization of radiative leptonic D-meson decay with sub-leading power corrections

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In this work,we calculate the sub-leading power contributions to radiative leptonic D → γlv decay.For the first time,we provide the analytic expressions of next-to-leading power contributions and the error estimation as-sociated with the power expansion of O(AQCD/mc).In our calculation,we adopt two different models of the D-meson distribution amplitudes φ+D,Ⅰ and φ+D,Ⅱ.Within the framework of QCD factorization as well as the dispersion relation,we evaluate the soft contribution up to the next-to-leading logarithmic accuracy and also consider the high-er-twist contribution from the two-particle and three-particle distribution amplitudes.Finally,we find that all the sub-leading power contributions are significant at λD(μ0) =354 MeV,and the next-to-leading power contributions lead to 143% in φ+D.Ⅰ and 120% in φ+D,Ⅱ corrections to leading power vector form factors with Eγ =0.5 GeV.As the corrections from the higher-twist and local sub-leading power contributions are enhanced with increasing inverse moment,it is difficult to extract an appropriate inverse moment of the D-meson distribution amplitude.The pre-dicted branching fractions are (1.88+0.36-0.29) × 10-5 for φ+D,Ⅰ and (2.31+0.65-0.54)× 10-5 for φD,Ⅱ.
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